一种融合相对有效性的两阶段理想点法
Two-Stage TOPSIS Based on Relative Efficiency
DOI: 10.12677/ORF.2017.74013, PDF, HTML, XML, 下载: 1,350  浏览: 4,322  科研立项经费支持
作者: 邓兰梅, 黄天民：西南交通大学，数学学院，四川成都
关键词: 多目标问题；理想点法；相对有效性；Pareto最优解；层次分析法；变异系数法；Multi-Objective Problem； TOPSIS； Relative Efficiency； Pareto Optimal Solution； Analytic Hierarchy Process； Coefficient of Variation
摘要: 对于多目标优化与决策问题的求解，决策者需要在Pareto最优解集中挑选出一个最终的决策方案。本文提出了一种包含多目标优化与决策的两阶段理想点法，在第一阶段采用基于相对有效性的理想点法得到Pareto最优解集，决策过程中决策者参与和计算权重向量交互进行，保证了权重向量客观性和决策者的参与程度；在第二阶段中，采用基于层次分析法主观赋权和变异系数法客观赋权的线性组合赋权的理想点法对Pareto最优解进行排序，以帮助决策者完成决策。
Abstract: For solving multi-objective optimization and decision making problems, decision-makers need to pick out a final decision from the Pareto optimal solution set. A two-stage technique for order preference by similarity to ideal solution (TOPSIS) containing multi-objective optimization and decision is presented. In the first stage, Pareto optimal solution set is obtained by using the TOPSIS based on relative efficiency. Decision-makers’ participation interacts with calculating weight vector in decision-making process, ensuring the objectivity of the weight vector and the degree of decision-makers’ participation; in the second phase, sort of the Pareto optimal solutions is obtained by using TOPSIS based on the linear combination of subjective empowerment based on the analytic hierarchy process (AHP) and objective empowerment based on coefficient of variation, helping decision-makers complete the decision.
文章引用：邓兰梅, 黄天民. 一种融合相对有效性的两阶段理想点法[J]. 运筹与模糊学, 2017, 7(4): 110-137. https://doi.org/10.12677/ORF.2017.74013

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